Question

Which statement about the ordered pairs (2, −9)(2, −9) and (3, −6)(3, −6) is true for the equation 5x−y3=135x−y3=13 ?

(2, −9)(2, −9) is a solution to the equation.

(3, −6)(3, −6) is a solution to the equation.

Both ordered pairs are solutions.

Neither ordered pair is a solution.

Answer 1

(2, −9) is a solution to the equation.

Explanation:

k12 8th grade test

Answer 2

5x - y³ = 135x - y³ = 13
The answer can be obtained by simply putting the ordered pair into the equations. First (2 , -9)
5(2) - (9)³ = 135(5) - (-9)³ = 13
10 + 729 = 675 + 729 = 13
739 = 1404 = 13
This is not true. Therefore this is not a solution
Second (3,-6)
5(3) - (-6)³ = 135(5) - (-6)³ = 13
231 = 891 = 13
This is also not true
Therefore, neither ordered pair is a solution.